A Particle Method for the b-Equation

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Author(s)

Zhiqiang Xing^*, Yong Duan^*, Huiyuan Wu

Affiliation(s)

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China.

ABSTRACT

In this paper, we apply the particle method to solve the numerical solution of a family of non-li-near Evolutionary Partial Differential Equations. It is called b-equation because of its bi-Hamiltonian structure. We introduce the particle method as an approximation of these equations in Lagrangian representation for simulating collisions between wave fronts. Several numerical examples will be set to illustrate the feasibility of the particle method.

KEYWORDS

Particle Method, b-Equation, Peakon Solution, Lagrangian Representation

Cite this paper

Xing, Z. , Duan, Y. and Wu, H. (2014) A Particle Method for the b-Equation. Journal of Applied Mathematics and Physics, 2, 981-986. doi: 10.4236/jamp.2014.211111. 

 

References

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